Results 91 to 100 of about 193 (129)

On Skew Quasi-Baer Rings

Communications in Algebra, 2010
A ring R with an automorphism α and an α-derivation δ is called (α,δ)-quasi-Baer (resp., quasi-Baer) if the right annihilator of every (α,δ)-ideal (resp. ideal) of R is generated by an idempotent, as a right ideal. We show the left-right symmetry of (α, δ)-quasi Baer condition and prove that a ring R is (α, δ)-quasi Baer if and only if R[x; α, δ] is α ...
M. Habibi, A. Moussavi, R. Manaviyat
exaly   +2 more sources

PRINCIPALLY QUASI-BAER RINGS

Communications in Algebra, 2001
We say a ring with unity is right principally quasi-Baer (or simply, right p.q.-Baer) if the right annihilator of a principal right ideal is generated (as a right ideal) by an idempotent. This class of rings includes the biregular rings and is closed under direct products and Morita invariance.
Gary F Birkenmeier, Jae Keol Park
exaly   +2 more sources

Generalized Quasi-Baer Rings

Communications in Algebra, 2005
ABSTRACT We say a ring with identity is a generalized right (principally) quasi-Baer if for any (principal) right ideal I of R, the right annihilator of In is generated by an idempotent for some positive integer n, depending on I. The behavior of the generalized right (principally) quasi-Baer condition is investigated with respect to various ...
A Moussavi, E Hashemi
exaly   +2 more sources

Ore Extensions of Quasi-Baer Rings

Communications in Algebra, 2009
We first study the quasi-Baerness of R[x; σ, δ] over a quasi-Baer ring R when σ is an automorphism of R, obtaining an affirmative result. We next show that if R is a right principally quasi-Baer ring and σ is an automorphism of R with σ(e) = e for any left semicentral idempotent e ∈ R, then R[x; σ, δ] is right principally quasi-Baer. As a corollary, we
Chan Yong Hong, , Yang Lee
exaly   +2 more sources

Generalized quasi-Baer *-rings and Banach *-algebras

Communications in Algebra, 2020
We say that a *-ring R is a generalized quasi-Baer *-ring if for any ideal I of R, the right annihilator of In is generated, as a right ideal, by a projection, for some positive integer n depending...
M Ahmadi, Nasser Golestani, A Moussavi   +2 more
exaly   +2 more sources

Quasi-Baer $ * $-Ring Characterization of Leavitt Path Algebras

Siberian Mathematical Journal
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A Moussavi, M Ahmadi
exaly   +3 more sources